57382500 has 120 divisors (see below), whose sum is σ = 191388736. Its totient is φ = 13104000.

The previous prime is 57382499. The next prime is 57382547. The reversal of 57382500 is 528375.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51954 + ... + 53046.

Almost surely, 2^57382500 is an apocalyptic number.

57382500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95694368).

57382500 is an abundant number, since it is smaller than the sum of its proper divisors (134006236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57382500 is a wasteful number, since it uses less digits than its factorization.

57382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57382500 is about 7575.1237613652. The cubic root of 57382500 is about 385.7090436285.

The spelling of 57382500 in words is "fifty-seven million, three hundred eighty-two thousand, five hundred".